Non-homogeneous Gaussian regression (NGR) is a type of statistical regression analysis used in the atmospheric sciences as a way to convert ensemble forecasts into probabilistic forecasts. Relative to simple linear regression, NGR uses the ensemble spread as an additional predictor, which is used to improve the prediction of uncertainty and allows the predicted uncertainty to vary from case to case. The prediction of uncertainty in NGR is derived from both past forecast errors statistics and the ensemble spread. NGR was originally developed for site-specific medium range temperature forecasting, but has since also been applied to site-specific medium-range wind forecasting and to seasonal forecasts, and has been adapted for precipitation forecasting.The introduction of NGR was the first demonstration that probabilistic forecasts that take account of the varying ensemble spread could achieve better skill scores than forecasts based on standard Model output statistics approaches applied to the ensemble mean. (Wikipedia).
Derive the Variation of Parameters Formula to Solve Linear Second Order Nonhomogeneous DEs
This video derives or proves the variation of parameters formula used to find a particular solution and solve linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Determine a Particular Solution of a Second Order DE using Variation of Parameters
This video provides an example of how to find a particular solution of a linear second order nonhomogeneous differential equation using the method of variation of parameters. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Ex 2: General Solution to a Second Order DE Using Variation of Parameters
This video provides an example of how to determine the general solution to a linear second order nonhomogeneous differential equation. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Find a Particular Solution to a Nonhomgeneous DE Using Variation of Parameters
This video explains how to determine a particular solution to a linear second order differential equation using the method of variation of parameters. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
The Form of the Particular Solution Using the Method of Undetermined Coefficients - Part 1
This video provides examples of how to determine the form of the particular solution to a linear second order nonhomogeneous differential equation. The particular solution is not found. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Prove the Form of the General Solution to a Linear Second Order Nonhomogeneous DE
This video explains the form of the general solution to linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
The Form of the Particular Solution Using the Method of Undetermined Coefficients - Part 2
This video provides examples of how to determine the form of the particular solution to a linear second order nonhomogeneous differential equation when terms are repeated. The particular solution is not found. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Ex 1: Method of Undetermined Coefficients to Find the General Solution (exponential)
This video provides an example of how to find the general solution to a linear second order nonhomogeneous differential equation using the method of undetermined coefficients. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Linear)
This video explains how to determine the general solution to a linear second order nonhomogeneous differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Comparing the Solutions to Homogeneous and Nonhomogeneous Systems
This video compares the solutions to a homogeneous system and nonhomogeneous system of equations.
From playlist Rank and Homogeneous Systems
The Geometry of the Solutions to Ax=0 and Ax=b in R3 with 1 Free Variables
This video explore the geometry for the solutions to the homogeneous equation Ax=0 and the nonhomogeneous equation Ax=b in R3 with 1 free variable.
From playlist Rank and Homogeneous Systems
Ex 2: Method of Undetermined Coefficients to Find the General Solution (quadratic)
This video provides an example of how to find the general solution to a linear second order nonhomogeneous differential equation using the method of undetermined coefficients. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
The Geometry of the Solutions to Ax=0 and Ax=b in R3 with 2 Free Variables
This video explore the geometry for the solutions to the homogeneous equation Ax=0 and the nonhomogeneous equation Ax=b in R3 with 2 free variables.
From playlist Rank and Homogeneous Systems
(ML 19.9) GP regression - introduction
Introduction to the application of Gaussian processes to regression. Bayesian linear regression as a special case of GP regression.
From playlist Machine Learning
(ML 19.10) GP regression - the key step
The key step in deriving the posterior predictive distribution for a Gaussian process regression model just involves the basic properties of multivariate Gaussians.
From playlist Machine Learning
Find a General Solution to a Nonhomogeneous DE Using Undetermined Coefficients (Repeat Term)
This video explains how to determine the general solution to a linear second order differential equation using the method of undetermined coefficients. http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
Stanford CS229: Machine Learning | Summer 2019 | Lecture 6 - Exponential Family & GLM
For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3Eb7mIi Anand Avati Computer Science, PhD To follow along with the course schedule and syllabus, visit: http://cs229.stanford.edu/syllabus-summer2019.html
From playlist Stanford CS229: Machine Learning Course | Summer 2019 (Anand Avati)